Mathematical and Physical Journal
for High Schools
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Problem K. 491. (January 2016)

K. 491. Andrew has chosen five numbers. He wrote them on a sheet of paper, and formed every possible sum of three terms out of them. He got the following results: 3, 4, 6, 7, 9, 10, 11, 14, 15 and 17. Which were the five original numbers that Andrew had in mind?

(6 pont)

Deadline expired on February 10, 2016.


Statistics:

72 students sent a solution.
6 points:Bálint Szilárd, Barta Ákos, Bartha Ákos, Bertók Zsanett, Csáfordi József, Csikós-Nagy Máté, Csóka Zoárd, Debreczeni Tibor, Dékány Barnabás, Dobák Dániel, Fekete Barnabás, Gárdonyi Csilla Dóra, Gilicze Márton, Hegedüs Péter, Hoffmann Balázs, Jankovits András, Kávási Tamás, Keltai Dóra, Kertész Ferenc, Kiss 468 Péter, Kluèka Vivien, Kovács 161 Márton Soma, Kovács 576 Kristóf, Kovács Levente András, Marshall Tamás, Mészáros 916 Márton, Misik Márton, Mónos Péter, Nagy Csaba Jenő, Nyitrai Boglárka, Pálvölgyi Szilveszter, Pinke Jakab Zoltán, Póta Balázs, Rubovszky Cecília , Sal Dávid, Simon Dóra, Varga 294 Ákos, Varga Levente, Végvári Domonkos Ferenc, Vida Kata, Zsótér Laura.
5 points:Csunderlik Dorka, Koltai Dániel, Ruzsa Kata.
4 points:1 student.
3 points:3 students.
2 points:4 students.
1 point:12 students.
0 point:8 students.

Problems in Mathematics of KöMaL, January 2016